1. 4-2: Triangle Congruence by SSS and SAS 4-3: Triangle Congruence by ASA and AAS 4-4: Using Corresponding Parts of Congruent Triangles

2. Side-Side-Side (SSS) If, in two triangles:
three sides of one are congruent to three sides of the other, then the triangles are congruent. A B C D E F

3. Side-Angle-Side (SAS)
If, in two triangles:
two sides and the included angle of one are congruent to two sides and the included angle of the other, then the triangles are congruent A B C D E F

4. Angle-Side-Angle (ASA)
If, in two triangles:
two angles and the included side of one are congruent to two angles and the included side of the other, then the two triangles are congruent. A B C D E F

5. Angle-Angle-Side (AAS)
If, in two triangles:
two angles and a non-included side of one are congruent respectively to two angles and the corresponding non-included side of the other, then the triangles are congruent. A B C D E F

6. Using only the given information, which pairs of triangles are congruent? Justify your answer.1. 2. No
Yes; SAS 3. No

7. Writing Proofs 3
Prove ___ parts of one triangle are ____________ to the _________________ parts of another triangle.
Use Triangle Congruence Theorems and other theorems in the proof.
congruent
corresponding 3

8. Ex. 1 F U N A C
Given:
Prove:
Statement
Reason
1). Given
1).

9. Ex. 2 L T P O
Given:
Prove:
Statement
Reason
1).
1). Given

10. A
Ex. 3
Given: B D C
Prove: E
Statement
Reason
1).
1). Given

11. Ex. 4 J K L M
Given:
Prove:
Statement
Reason
1).
1). Given

12. Corresponding Parts of Congruent Figures are Congruent (CPCFC)
If two figures are congruent, then so are all of their corresponding parts.

13. Ex. 5 W A 1 2
Given: 4 3
Prove: T I
Statement
Reason
1). Given
1).